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Linear Algebra and Geometry

Posted By: step778
Linear Algebra and Geometry

Kam-Tim Leung, "Linear Algebra and Geometry"
1974 | pages: 320 | ISBN: 0856561118 | PDF | 4,2 mb

Linear algebra is now included in the undergraduate curriculum of most universities. It is generally recognized that this branch of algebra, being less abstract and directly motivated by geometry, is easier to understand than some other branches and that because of the wide applications it should be taught as early as possible. The present book is an extension of the lecture notes for a course in algebra and geometry given each year to the first-year undergraduates of mathematics and physical sciences in the University of Hong Kong since 1961. Except for some rudimentary knowledge in the language of set theory the prerequisites for using the main part of this book do not go beyond Form VI level. Since it is intended for use by beginners, much care is taken to explain new theories by building up from intuitive ideas and by many illustrative examples, though the general level of presentation is thoroughly axiomatic.
The book begins with a chapter on linear spaces over the real and the complex field in leisurely pace. The more general theory of linear spaces over an arbitrary field is not touched upon since no sub-stantial gain can be chieved by its inclusion at this level of instruc-tion. In §3 a more extensive knowledge in set theory is needed for formulating and proving results on infinite-dimensional linear spaces. Readers who are not accustomed to these set-theoretical ideas may omit the entire section.

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